The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2 in meters and t in seconds. a. At what time(s) in the interval 0<=t<=2pai  do the particles meet? b. What is the farthest apart that the particles ever get? c. When in the interval 0<=t<=2pai is the distance between the particles changing the fastest?

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The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2 in meters and t in seconds. a. At what time(s) in the interval 0<=t<=2pai  do the particles meet? b. What is the farthest apart that the particles ever get? c. When in the interval 0<=t<=2pai is the distance between the particles changing the fastest?

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Step 1

The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2 in meters and t in seconds.

1. At what time(s) in the interval 0<=t<=2pai  do the particles meet?
2. What is the farthest apart that the particles ever get?
3. When in the interval 0<=t<=2pai is the distance between the particles changing the fastest?
Step 2

Given the position of two masses is given by

Step 3

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